Unbounded absolutely weak Dunford-Pettis operators

Authors

NAZİFE ERKURŞUN ÖZCAN
NİYAZİ ANIL GEZER
OMID ZABETI

Abstract

In the present article, we expose various properties of unbounded absolutely weak Dunford?Pettis and unbounded absolutely weak compact operators on a Banach lattice E. In addition to their topological and lattice properties, we investigate relationships between M-weakly compact operators, L-weakly compact operators, and order weakly compact operators with unbounded absolutely weak Dunford-Pettis operators. We show that the square of any positive uaw-Dunford-Pettis (M-weakly compact) operator on an order continuous Banach lattice is compact. Many examples are given to illustrate the essential conditions.

DOI

10.3906/mat-1904-27

Keywords

uaw-Convergence, uaw-Dunford-Pettis operator, Banach lattice

First Page

2731

Last Page

2740

Recommended Citation

ÖZCAN, NAZİFE ERKURŞUN; GEZER, NİYAZİ ANIL; and ZABETI, OMID (2019) "Unbounded absolutely weak Dunford-Pettis operators," Turkish Journal of Mathematics: Vol. 43: No. 6, Article 6. https://doi.org/10.3906/mat-1904-27
Available at: https://journals.tubitak.gov.tr/math/vol43/iss6/6